Geodesic
An asymptotic solution of the Cauchy problem for the Davey--Stewartson-I equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 104-114

Voir la notice de l'article provenant de la source Math-Net.Ru

We construct an asymptotic solution of the Cauchy problem for the Davey–Stewartson-I equation as $t\to\infty$. The solution, which is of order $t^{-1}$, is rapidly oscillating. The envelope of the oscillations can be defined by an integral equation. 
@article{TMF_1998_114_1_a4,
     author = {O. M. Kiselev},
     title = {An asymptotic solution of the {Cauchy} problem for the {Davey--Stewartson-I} equation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {104--114},
     publisher = {mathdoc},
     volume = {114},
     number = {1},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a4/}
}
TY  - JOUR
AU  - O. M. Kiselev
TI  - An asymptotic solution of the Cauchy problem for the Davey--Stewartson-I equation
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1998
SP  - 104
EP  - 114
VL  - 114
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a4/
LA  - ru
ID  - TMF_1998_114_1_a4
ER  - 
%0 Journal Article
%A O. M. Kiselev
%T An asymptotic solution of the Cauchy problem for the Davey--Stewartson-I equation
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1998
%P 104-114
%V 114
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a4/
%G ru
%F TMF_1998_114_1_a4
O. M. Kiselev. An asymptotic solution of the Cauchy problem for the Davey--Stewartson-I equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 114 (1998) no. 1, pp. 104-114. http://geodesic.mathdoc.fr/item/TMF_1998_114_1_a4/